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Finding the Third Proportional to 55,512 and 121,520

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Solution

The third proportional to 55,512 and 121,520 is: 266,016.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,512 : 121,520 = 121,520 : x
  2. Step 2: Convert to fraction form
    55,512/121,520 = 121,520/x
  3. Step 3: Cross multiply
    55,512x = 121,520 × 121,520
  4. Step 4: Simplify right side
    55,512x = 14,767,110,400
  5. Step 5: Solve for x
    x = 14,767,110,400/55,512
  6. Step 6: Final answer
    x = 266,016.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.